Polar sets of fractional Brownian sheets |
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| Authors: | Zhenlong Chen |
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| Institution: | (1) College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, 310035, China |
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| Abstract: | The properties of the polar sets are discussed for a real-valued (N, d)-fractional Brownian sheet with Hurst index. Sufficient conditions and necessary conditions for a compact set to be polar
for the fractional Brownian sheet are proved. The infimum of Hausdorff dimensions of its polar sets are also obtained by means
of constructing a Cantor-type set to connect its Hausdorff dimension and capacity.
Research supported by the National Natural Foundation of China (10471148), the Sci-tech Innovation Item for Excellent Young
and Middle-Aged University Teachers of Educational Department of Hubei (200316). |
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| Keywords: | Fractional Brownian sheet Polar set Hausdorff dimension Packing dimension |
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